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Home Question Bank Math Geometry Archive 2025 January 21

Geometry Questions from Jan 21,2025

Browse the Geometry Q&A Archive for Jan 21,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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17. In an A-frame house, the two congruent sides extend from the ground to form a \( 34^{\circ} \) angle at the peak. What angle does each side form with the ground? \( 146^{\circ} \) ? \( 73^{\circ} \) 78 \( 156^{\circ} \). 14. What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures \( 54^{\circ} \) ? \( 108^{\circ} \) \( 126^{\circ} \) \( 72^{\circ} \) \( 63^{\circ} \) 11. If \( \triangle M N O \cong \triangle P Q R \), which of the following can you NOT conclude as being true? \( \overline{\mathrm{NO}} \cong \overline{\mathrm{QR}} \) \( \overline{\mathrm{MN}} \cong \overline{\mathrm{PR}} \) \( \angle \mathrm{M} \cong \angle \mathrm{P} \) \( \angle \angle \mathrm{Q} \) [1 mak) A line segrnent joins the points \( C(-5.6) \) and \( D(7,2) \). (a) Colculate the midpoint of the Ine segment CD \[ \begin{array}{l} 17\left(\frac{-1+1+1}{2}+\frac{1+12}{2}\right) \\ m_{2}=-5+7=\frac{2}{2}= \\ N_{y}=\frac{\operatorname{Len} 2}{2}=-7= \\ m=(-1,4) \end{array} \] \( \qquad \) (2 man (b) Find the gradient of the line segment \( C D \). \( \qquad \) (2 ms (c) Another line, \( A B \), is parallel to \( C D \) and passes through the point \( (0,1) \). Write down the equation of the line \( A B \). Louie is trying to find a rectangular canvas for his art project. Its height must measure 18 inches and form a \( 48^{\circ} \) angle with the diagonal at the top of the canvas. What is the length of the diagonal of the canvas? 12 inches 14 inches 24 inches 27 inches 11. If \( \triangle M N O \cong \triangle P Q R \), which of the following can you \( N O T \) conclude as being true? \( \overline{\mathrm{NO}} \cong \overline{\mathrm{QR}} \) \( \overline{M N} \cong \overline{P R} \) \( \angle \mathrm{~N} \cong \angle \mathrm{Q} \) 11. If \( \triangle \mathrm{MNO} \cong \triangle \mathrm{PQR} \), which of the following can you NOT conclude as being true? \( \overline{\mathrm{NO}} \cong \overline{\mathrm{QR}} \) \( \angle \mathrm{M} \cong \angle \mathrm{P} \) \( \overline{\mathrm{MN}} \cong \overline{\mathrm{PR}} \) \( \begin{array}{l}\angle \mathrm{N} \cong \angle \mathrm{Q}\end{array} \) Find the midpoint of the line segment from \( (-9,-6) \) to \( (4,2) \). Midpoint \( = \) Give your answer as a point, with coordinates given as integers or reduced fractions. (1) What is the total volume of all four lockers if one side of a locker is 2 feet long? 4. In \( \triangle F K R \), which side is included between \( \angle F \) and \( \angle R \) ?
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